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Dictators, Dummies, and Veto
Power
Unit 2 – Weighted Voting
Dictators
What is a dictator?
Look at this weighted voting
system:
[11:12, 5, 4]
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One of the players, ________ is in complete control.
It doesn’t matter what P2
and P3 want.
If ______ is for the motion, it passes. If ______ is
against the motion, then it fails.
Dummies
A dummy
__________________________________
__________________________________
Take this voting system:
[30: 10, 10, 10, 9]
What are the only two combinations of players that will result in a
passed motion?
or
Veto Power
Veto power:
- must not be a dictator
_____________________________________________
____________________________________________.
* A player cannot force a motion to pass, but can force a motion to fail
A player with weight w has veto power if and only if w < q and V-w < q (where
V = w1 + w2 +…+ wN).
Consider this weighted voting
system:
[12: 9, 5, 4, 2]
Can P1 make the motion pass by himself/herself? __________
Can P2, P3, and P4 make the motion pass without P1?
__________________________________________________________